{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IUWI5RMGI7O4QSPBG46EK7MD6P","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0af1087a2e4a3a32a3a74dc6ff8497135b61dbabc8268886f0f11cb3795c6b2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-09T06:10:32Z","title_canon_sha256":"7cfcb9b618c2ac4e04dc6ed466708cbd982b82450c77d107404531e22e22ac7c"},"schema_version":"1.0","source":{"id":"1708.02726","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.02726","created_at":"2026-05-18T00:23:53Z"},{"alias_kind":"arxiv_version","alias_value":"1708.02726v2","created_at":"2026-05-18T00:23:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02726","created_at":"2026-05-18T00:23:53Z"},{"alias_kind":"pith_short_12","alias_value":"IUWI5RMGI7O4","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IUWI5RMGI7O4QSPB","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IUWI5RMG","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:bb51cd04ae4c5018739837b2371234218d6d14853c688868c67f8ef83d198f0a","target":"graph","created_at":"2026-05-18T00:23:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We show that the linear statistics of eigenvalues of circulant matrix obey the Gaussian central limit theorem for a large class of input sequences.","authors_text":"Kartick Adhikari, Koushik Saha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-09T06:10:32Z","title":"Universality in the fluctuation of eigenvalues of random circulant matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02726","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6c5cae13d0d3956b007ab8e73df33485ff74bc7ecb0a02a0dc00fd27df086c9a","target":"record","created_at":"2026-05-18T00:23:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0af1087a2e4a3a32a3a74dc6ff8497135b61dbabc8268886f0f11cb3795c6b2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-09T06:10:32Z","title_canon_sha256":"7cfcb9b618c2ac4e04dc6ed466708cbd982b82450c77d107404531e22e22ac7c"},"schema_version":"1.0","source":{"id":"1708.02726","kind":"arxiv","version":2}},"canonical_sha256":"452c8ec58647ddc849e1373c457d83f3fbe53655c29c673e408f21321ababcb8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"452c8ec58647ddc849e1373c457d83f3fbe53655c29c673e408f21321ababcb8","first_computed_at":"2026-05-18T00:23:53.222855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:53.222855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f8ns1q1ZQPDmVOUxD2ratumDyWXL5U3WCHkeN3cALPc6bvi33FgKVog/NzgrhTCohAviAqWvKkT8x9K/mG94CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:53.223472Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.02726","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c5cae13d0d3956b007ab8e73df33485ff74bc7ecb0a02a0dc00fd27df086c9a","sha256:bb51cd04ae4c5018739837b2371234218d6d14853c688868c67f8ef83d198f0a"],"state_sha256":"170e9f7cab9c729d0d2e52fb3cccb38be11844939420b5902474c0630baae3e0"}